Solutions to Knizhnik-Zamolodchikov equations with coefficients in non-bounded modules
Kenji Iohara, Feodor Malikov
TL;DR
This paper derives explicit integral formulas for solutions to Knizhnik-Zamolodchikov equations involving non-bounded modules of sl_{n+1}, linking these solutions to the WZNW model at rational levels.
Contribution
It provides the first explicit integral formulas for KZ solutions with non-bounded modules, expanding understanding beyond highest or lowest weight cases.
Findings
Explicit integral formulas for KZ solutions with non-bounded modules
Connection established between KZ solutions and WZNW model at rational levels
Advances in representation theory of sl_{n+1} modules
Abstract
We explicitly write dowm integral formulas for solutions to Knizhnik-Zamolodchikov equations with coefficients in non-bounded -- neither highest nor lowest weight -- -modules. The formulas are closely related to WZNW model at a rational level.
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